24145442112 has 224 divisors, whose sum is σ = 70740324864. Its totient is φ = 7207782400.

The previous prime is 24145442093. The next prime is 24145442119. The reversal of 24145442112 is 21124454142.

It is a self number, because there is not a number n which added to its sum of digits gives 24145442112.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (24145442119) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 54504163 + ... + 54504605.

Almost surely, 2^24145442112 is an apocalyptic number.

24145442112 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 24145442112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35370162432).

24145442112 is an abundant number, since it is smaller than the sum of its proper divisors (46594882752).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

24145442112 is a wasteful number, since it uses less digits than its factorization.

24145442112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 797 (or 787 counting only the distinct ones).

The product of its digits is 10240, while the sum is 30.

Adding to 24145442112 its reverse (21124454142), we get a palindrome (45269896254).

The spelling of 24145442112 in words is "twenty-four billion, one hundred forty-five million, four hundred forty-two thousand, one hundred twelve".